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Finding the Fourth Proportional to 5,963.92, 8,947.51 and 1,804.07

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Solution

The fourth proportional to 5,963.92, 8,947.51 and 1,804.07 is: 2,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.92 : 8,947.51 = 1,804.07 : x
  2. Step 2: Convert to fraction form
    5,963.92/8,947.51 = 1,804.07/x
  3. Step 3: Cross multiply
    5,963.92x = 8,947.51 × 1,804.07
  4. Step 4: Simplify right side
    5,963.92x = 16,141,902.98
  5. Step 5: Solve for x
    x = 16,141,902.98/5,963.92
  6. Step 6: Final answer
    x = 2,706.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.